136952978865408 has 432 divisors, whose sum is σ = 422921752518720. Its totient is φ = 42495138791424.

The previous prime is 136952978865407. The next prime is 136952978865433. The reversal of 136952978865408 is 804568879259631.

136952978865408 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 529 + 7 + 8 + 86 + 5 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×136952978865408² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136952978865407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1164339016 + ... + 1164456632.

It is a 1-persistent number, because it is pandigital, but 2⋅136952978865408 = 273905957730816 is not.

Almost surely, 2^{136952978865408} is an apocalyptic number.

136952978865408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136952978865408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211460876259360).

136952978865408 is an abundant number, since it is smaller than the sum of its proper divisors (285968773653312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136952978865408 is a wasteful number, since it uses less digits than its factorization.

136952978865408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118122 (or 118105 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 136952978865408 in words is "one hundred thirty-six trillion, nine hundred fifty-two billion, nine hundred seventy-eight million, eight hundred sixty-five thousand, four hundred eight".